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Finding the Fourth Proportional to 924.46, 1,274.59 and 776.77

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Solution

The fourth proportional to 924.46, 1,274.59 and 776.77 is: 1,070.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.46 : 1,274.59 = 776.77 : x
  2. Step 2: Convert to fraction form
    924.46/1,274.59 = 776.77/x
  3. Step 3: Cross multiply
    924.46x = 1,274.59 × 776.77
  4. Step 4: Simplify right side
    924.46x = 990,063.27
  5. Step 5: Solve for x
    x = 990,063.27/924.46
  6. Step 6: Final answer
    x = 1,070.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.